One side of the triangle is 7 times smaller than the second and 66 cm smaller than the third.
One side of the triangle is 7 times smaller than the second and 66 cm smaller than the third. Find the sides of the triangle if its perimeter is 174 cm.
1) Let x cm be the length of the first side of the triangle.
2) Then 7x cm is the length of the second side, (x + 66) cm is the length of the third side.
3) (x + 7x + (x + 66)) cm – the sum of the lengths of all sides of the triangle, that is, its perimeter.
4) From the condition of the task, you can write:
x + 7x + (x + 66) = 174.
5) Solve the equation and find x:
x + 7x + x + 66 = 174;
9x + 66 = 174;
9x = 174 – 66;
9x = 108;
x = 108: 9;
x = 12.
6) The length of the first side x = 12 cm.
7) Let’s calculate the length of the second side:
12 * 7 = 84 cm.
8) Find out the length of the third party:
12 + 66 = 78 cm.
Answer: 12, 84 and 78 cm.